Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
158 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 50 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#22604426 | C2 | semidirect |
| 2. #32914743 | C2 | semidirect |
| 3. #32914727 | C2 | semidirect |
| 4. #32914726 | C2 | semidirect |
| 12. #22604419 | C4 | semidirect |
| 14. #22604418 | C4 | semidirect |
| 16. #22604417 | C4 | semidirect |
| 22. #41×C577 | C4 | semidirect |
| 68. C577 | #416 | semidirect |
| 80. #41 | #14556313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22604426 | 2 |
| #32914743 | 2 |
| #32914727 | 2 |
| #32914726 | 2 |
| #41×D577 | 2 |
| #416 | 577 |